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Year 2017, Volume: 5 Issue: 1, 26 - 33, 01.01.2017

Abstract

References

  • E. Celik and M. Bayram, On the Numerical Solution of Differential-Algebraic Equation by Padé Series, Applied Mathematics and Computation, 137(2003) 151-160.
  • E. Celik, E. Karaduman and M. Bayram, A Numerical Method to Solve Chemical Differential-Algebraic Equations, International Journal of Quantum Chemistry, 89(2002) 447-451.
  • A. Aykut, E. Celik,and M. Bayram, The Ordinary Successive Approximations Method and Padé Approximants for Solving a Differential Equation with Variant Retarded Argument, Applied Mathematics and Computation, 2002, AMC 7569.
  • E. Celik, A. Aykut and M. Bayram, The Modified Two-Sided Approximations Method and Padé Approximants for Solving a Differential Equation with Variant Retarded Argument, Applied Mathematics and Computation, 2002, AMC 7566.
  • Francis B. Hildebrand. Methods of applied Mathematics (second edition), prentice-Hall, inc., New Jersey. 1965.
  • E. Celik and M. Bayram, The basic successive substitute approximations Method and Padé Approximantions to solve the elasticity problem of settled of the wronkler ground with variable coefficients, Applied Mathematics and Computation, 154(2004) 495-505.

The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients

Year 2017, Volume: 5 Issue: 1, 26 - 33, 01.01.2017

Abstract




In this study, we have applied a generalized
successive numerical technique to solve the elasticity problem of based on the
elastic ground with variable coefficient. In the first stage, we have
calculated the generalized successive approximation of being given BVP and in
the second stage we have transformed it into Padé series. At the end of study a
test problem has been given to clarify the method.




References

  • E. Celik and M. Bayram, On the Numerical Solution of Differential-Algebraic Equation by Padé Series, Applied Mathematics and Computation, 137(2003) 151-160.
  • E. Celik, E. Karaduman and M. Bayram, A Numerical Method to Solve Chemical Differential-Algebraic Equations, International Journal of Quantum Chemistry, 89(2002) 447-451.
  • A. Aykut, E. Celik,and M. Bayram, The Ordinary Successive Approximations Method and Padé Approximants for Solving a Differential Equation with Variant Retarded Argument, Applied Mathematics and Computation, 2002, AMC 7569.
  • E. Celik, A. Aykut and M. Bayram, The Modified Two-Sided Approximations Method and Padé Approximants for Solving a Differential Equation with Variant Retarded Argument, Applied Mathematics and Computation, 2002, AMC 7566.
  • Francis B. Hildebrand. Methods of applied Mathematics (second edition), prentice-Hall, inc., New Jersey. 1965.
  • E. Celik and M. Bayram, The basic successive substitute approximations Method and Padé Approximantions to solve the elasticity problem of settled of the wronkler ground with variable coefficients, Applied Mathematics and Computation, 154(2004) 495-505.
There are 6 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Mustafa Bayram

Publication Date January 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Bayram, M. (2017). The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients. New Trends in Mathematical Sciences, 5(1), 26-33.
AMA Bayram M. The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients. New Trends in Mathematical Sciences. January 2017;5(1):26-33.
Chicago Bayram, Mustafa. “The Generalized Successive Approximation and Padé Approximants Method for Solving an Elasticity Problem of Based on the Elastic Ground With Variable Coefficients”. New Trends in Mathematical Sciences 5, no. 1 (January 2017): 26-33.
EndNote Bayram M (January 1, 2017) The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients. New Trends in Mathematical Sciences 5 1 26–33.
IEEE M. Bayram, “The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 26–33, 2017.
ISNAD Bayram, Mustafa. “The Generalized Successive Approximation and Padé Approximants Method for Solving an Elasticity Problem of Based on the Elastic Ground With Variable Coefficients”. New Trends in Mathematical Sciences 5/1 (January 2017), 26-33.
JAMA Bayram M. The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients. New Trends in Mathematical Sciences. 2017;5:26–33.
MLA Bayram, Mustafa. “The Generalized Successive Approximation and Padé Approximants Method for Solving an Elasticity Problem of Based on the Elastic Ground With Variable Coefficients”. New Trends in Mathematical Sciences, vol. 5, no. 1, 2017, pp. 26-33.
Vancouver Bayram M. The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients. New Trends in Mathematical Sciences. 2017;5(1):26-33.